Regularity and Strong Convergence of a Variational Approximation to a Nonhomogeneous Dirichlet Hyperbolic Boundary Value Problem

DOI10.1137/0519038zbMath0668.35056OpenAlexW1999726546MaRDI QIDQ3821033

Jan Sokolowski, Irena Lasiecka

Publication date: 1988

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0519038

zbMATH Keywords

regularityconvergenceDirichlet boundary conditionssmooth boundaryself-adjointuniform differentiabilityvariational approximations

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Variational methods applied to PDEs (35A15) Theoretical approximation in context of PDEs (35A35)

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The Cauchy problem for an abstract second order ordinary differential equation ⋮ Existence and uniqueness of solutions of hyperbolic equations in divergence form with various boundary conditions on various parts of the boundary

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